Details

Time bar (total: 7.9s)

sample125.0ms

Algorithm
intervals
Results
26.0ms318×body80nan
25.0ms54×body1280valid
14.0ms43×body640valid
12.0ms159×body80valid
11.0ms15×body2560valid
4.0ms15×body320valid
1.0ms8×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.3b
(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
4.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms
(cos (- y (/ (* z t) 3.0)))

series164.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
93.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0404507
11671429
25002426

prune322.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New651984
Fresh000
Picked101
Done000
Total661985

Merged error: 19.9b

Counts
85 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.2b
(cos (/ (* z t) 3.0))
29.3b
(sin (/ (* z t) 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
8.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series237.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
93.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
20.0ms
(sin (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0351704
11500545
25001540

prune341.0ms

Filtered
72 candidates to 44 candidates (61.1%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New65772
Fresh11718
Picked101
Done000
Total672491

Merged error: 19.9b

Counts
91 → 24

localize36.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* 2.0 (sqrt x)) (* (sin y) (cbrt (pow (sin (/ (* z t) 3.0)) 3))))
14.3b
(cbrt (pow (sin (/ (* z t) 3.0)) 3))
29.2b
(cos (/ (* z t) 3.0))
29.3b
(sin (/ (* z t) 3.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
14×add-cbrt-cube
12×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×unpow-prod-down cube-prod
1×cube-mult pow1/3 unpow3 associate-*r* associate-*l* *-commutative rem-cbrt-cube sqr-pow
Counts
4 → 57
Calls
4 calls:
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (cbrt (pow (sin (/ (* z t) 3.0)) 3))))
3.0ms
(cbrt (pow (sin (/ (* z t) 3.0)) 3))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series139.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (cbrt (pow (sin (/ (* z t) 3.0)) 3))))
15.0ms
(cbrt (pow (sin (/ (* z t) 3.0)) 3))
10.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0238539
11010463
25001457

prune529.0ms

Filtered
69 candidates to 43 candidates (62.3%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh12223
Picked101
Done000
Total692493

Merged error: 19.9b

Counts
93 → 24

localize36.0ms

Local error

Found 4 expressions with local error:

29.2b
(cos (/ (* z t) 3.0))
29.3b
(sin (/ (* z t) 3.0))
29.3b
(sin (/ (* z t) 3.0))
29.3b
(sin (/ (* z t) 3.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series58.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
036190
152162
263162
372162
4100162
5174162
6693162
72258162
85001162

prune268.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh02323
Picked011
Done000
Total402464

Merged error: 19.9b

Counts
64 → 24

regimes2.0s

Accuracy

59.3% (1.5b remaining)

Error of 17.8b against oracle of 16.3b and baseline of 20.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05660
15660

end0.0ms

sample3.3s

Algorithm
intervals
Results
739.0ms1588×body1280valid
677.0ms9208×body80nan
425.0ms5617×body80valid
302.0ms938×body640valid
276.0ms372×body2560valid
111.0ms456×body320valid
36.0ms187×body160valid

Profiling

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